Further Maths: How do you find the inverse of a 2 x 2 matrix?

Consider the Matrix M: M= a b       c d  First, find the determinant. To do this, we use the formula:  det(M) = ad - bc Then plug the information into the formula used to find the inverse: 1/det(m) x   c   -b                   -d   a

SS
Answered by Shivani S. Further Mathematics tutor

2719 Views

See similar Further Mathematics A Level tutors

Related Further Mathematics A Level answers

All answers ▸

Show, using de Moivre's theorem, that sin 5x = 16 sin^(5) x - 20 sin^(3) x + 5 sin x 


The ODE mx'' + cx' + kx = 0 is used to model a damped mass-spring system, where m is the mass, c is the damping constant and k is the spring constant. Describe and explain the behaviour of the system for the cases: (a) c^2>4mk; (b) c^2=4mk; (c) c^2<4mk.


Can you show me how to solve first order differential equations using the integrating factor method?


Prove ∑r^3 = 1/4 n^2(n+1)^2


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning